I decided to make a few realtime shots with the mobile phone. So that you can see what it looks like. Bare in mind it is not that apparent in real, it is just that the phone makes it more extreme, but even better for you to see the issue.
brightess set a bit higher by purpose; contrast/colour settings have no effect on the issue
as I said when I put down the brightness it will disappear but once the game generates non-black background its back again->
notice the meteor & ship bleeding - this one is also quite apparent in realtime

any bright object will cause quite noticable bleeding unless you put brightess down to pure black...

Bare in mind this is a brand new budget CRT TV. As you mentioned, this issue might be caused by electronics design flaw, some bad part inside the set, or bad service picture settings. I prey it is not caused by CRT screen itself, as this is a brand new product. I also managed to get inside service menu. The chassis should be AK56, here is the service manual with some video settings values - I have no clue if this might help or not...
http://monitor.espec.ws/download.php?id=22816And I forgot to mention that this is PAL Sega Mega Drive running through RGB video cable and I have no other leads to test other formats like composite or RF. But I assume this is not an issue of RGB input only.
Anyway, by putting the brightness down to pure black and increasing contrast the results are quite satisfactory - no bleeding - at least at games that use black backgrounds. This issue tends to be apparent in games that use simple graphics with large single coloured areas.